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Finding the Third Proportional to 319,032 and 464,700

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Solution

The third proportional to 319,032 and 464,700 is: 676,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,032 : 464,700 = 464,700 : x
  2. Step 2: Convert to fraction form
    319,032/464,700 = 464,700/x
  3. Step 3: Cross multiply
    319,032x = 464,700 × 464,700
  4. Step 4: Simplify right side
    319,032x = 215,946,090,000
  5. Step 5: Solve for x
    x = 215,946,090,000/319,032
  6. Step 6: Final answer
    x = 676,879.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.